(CNN) -- Prime Minister Yulia Tymoshenko has withdrawn her appeal to contest the results of the Ukrainian presidential election held earlier this month, her press office said Saturday.

Tymoshenko had refused to concede and was demanding a recount in some districts.

A Ukrainian court had put on hold results that declared opponent Viktor Yanukovich the winner in the very close February 10 run-off.

Tymoshenko dropped her legal challenge because she believed the court was not being objective, said spokeswoman Natasha Lysova. However, she said, the court has not yet dismissed the case.

The Organization for Security and Cooperation in Europe, which observed the election, said it found no fault in the process.

Yanukovich's win was a remarkable comeback for the former prime minister five years after he was ousted in a populist uprising. He has strong links to Russia and a checkered election history.

In 2004, Yanukovich was declared the winner of the presidential election before the ballot's legitimacy was questioned and he was accused of stealing the race. A pro-Western uprising, known as the Orange Revolution, followed and Yanukovich's win was annulled. Current President Victor Yushchenko won the revote.

Tymoshenko, a populist prime minister, stood alongside Yushchenko during the Orange Revolution though political infighting saw their alliance break down.

In a recent interview with CNN, Yanukovich attributed his dramatic comeback to his improving the economy. He said people voted for him because they believe he can improve the economy.